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Finding the Fourth Proportional to 11,603.98, 17,405.96 and 4,208.42

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Solution

The fourth proportional to 11,603.98, 17,405.96 and 4,208.42 is: 6,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.98 : 17,405.96 = 4,208.42 : x
  2. Step 2: Convert to fraction form
    11,603.98/17,405.96 = 4,208.42/x
  3. Step 3: Cross multiply
    11,603.98x = 17,405.96 × 4,208.42
  4. Step 4: Simplify right side
    11,603.98x = 73,251,612.66
  5. Step 5: Solve for x
    x = 73,251,612.66/11,603.98
  6. Step 6: Final answer
    x = 6,312.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.